Question

Determine whether the planes are parallel, perpendicular or neither. 4x − 3y + 2z = 5, x + 6y + 7z = 3

Answer 1

Hello : 
4x − 3y + 2z = 5  ... (P)
x + 6y + 7z = 3  ..... (Q)
the perpendicular vector to the (P) is : v(4,-3,2)
the perpendicular vector to the (Q) is : l(1,6,7)
v ⊥ l because : (4)(1)+(-3)(6)+(2)(7= =0
so : (P) ⊥ (Q)